{"id":3283,"date":"2020-03-28T06:32:51","date_gmt":"2020-03-28T06:32:51","guid":{"rendered":"https:\/\/www.aiproblog.com\/index.php\/2020\/03\/28\/lognormal-weibull-and-gamma-distribution-in-one-picture\/"},"modified":"2020-03-28T06:32:51","modified_gmt":"2020-03-28T06:32:51","slug":"lognormal-weibull-and-gamma-distribution-in-one-picture","status":"publish","type":"post","link":"https:\/\/www.aiproblog.com\/index.php\/2020\/03\/28\/lognormal-weibull-and-gamma-distribution-in-one-picture\/","title":{"rendered":"Lognormal, Weibull, and Gamma distribution in One Picture"},"content":{"rendered":"

Author: Stephanie Glen<\/p>\n

\n

At first glance, the Lognormal, Weibull, and Gamma distributions distributions look quite similar to each other. Selecting between the three models is “quite difficult” (Siswadi & Quesenberry<\/a>) and the problem of testing which distribution is the best fit for data has been studied by a multitude of researchers.<\/p>\n

If all the models fit the data fairly well, many techniques are at your disposal to differentiate between models including the maximum likelihood method<\/a> and many different hypothesis tests<\/a>.<\/p>\n

Despite their similarities, there are some subtle differences between the Lognormal, Weibull, and Gamma distributions. This one picture outlines the differences between the three models.<\/p>\n

<\/a><\/p>\n

More information:<\/strong><\/p>\n

Lognormal Distribution<\/a><\/p>\n

Weibull Distribution<\/a><\/p>\n

Gamma Distribution<\/a><\/p>\n<\/p>\n

Location Parameter<\/a><\/p>\n

Rate parameter<\/a><\/p>\n

Shape Parameter<\/a><\/p>\n

Scale Parameter<\/a><\/p>\n<\/p>\n

References<\/h2>\n

Bromideh (2012) DISCRIMINATING BETWEEN WEIBULL AND LOG-NORMAL DISTRIBUTIONS BASED ON KULLBACK-LEIBLER DIVERGENCE<\/a><\/p>\n

Mun (2008) Understanding and Choosing the Right Probability Distributions<\/a><\/p>\n

Weibull vs Lognormal Data Analysis<\/a><\/p>\n

Gamma Distribution image: CBurnett|Wikimedia Commons<\/p>\n

Lognormal image: Krishnavedala|Wikimedia Commons<\/p>\n<\/div>\n

Go to Source<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Author: Stephanie Glen At first glance, the Lognormal, Weibull, and Gamma distributions distributions look quite similar to each other. Selecting between the three models is “quite […] Read More<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":459,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[26],"tags":[],"_links":{"self":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts\/3283"}],"collection":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/comments?post=3283"}],"version-history":[{"count":0,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts\/3283\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/media\/463"}],"wp:attachment":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/media?parent=3283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/categories?post=3283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/tags?post=3283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}